On the solvability and approximate solution of a one-dimensional singular problem for a p-Laplacian fractional differential equation

Solvability, Approximation and Stability of Periodic Boundary Value Problem for a Nonlinear Hadamard Fractional Differential Equation with p-Laplacian

“…In [4], based on the Guo-Krasnosel'skii fixed point theorem, the authors probed into the multiple positive solutions of a system of mixed Hadamard fractional BVP with (p 1 , p 2 )-Laplacian. In fact, some articles have been disposed of the BVP of p-Laplacian system involving Riemann-Liouville or Caputo fractional derivatives (see [5][6][7][8][9][10][11][12][13]).…”

“…In addition, we build the generalized Ulam-Hyers stability of system (1) based on nonlinear analysis methods and inequality techniques. (c) Many previous papers (see [2][3][4][5][6][7][8][9][10][11][12][13][17][18][19]24,25]) usually used some fixed-point theorems on Banach spaces to study the existence of solutions of fractional differential equations. However, we handle the existence of solutions to fractional order differential equations by defining two different distances on a complete distance space.…”

Right Fractional Sobolev Space via Riemann–Liouville Derivatives on Time Scales and an Application to Fractional Boundary Value Problem on Time Scales

“…Wang et al introduced the theory of fractional Sobolev spaces on time scales by conformable fractional derivatives on time scales in [9]. Recently, some other classical tools or techniques, such as the coincidence degree theory, the method of upper and lower solutions with monotone iterative technique and some fixed point theorems, etc., have been used to study the existence and multiplicity of solutions of differential equations and difference equations in the literature [10][11][12][13][14][15][16][17].…”